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Evgesh-ka [11]
3 years ago
8

Help plzzzz! pre calc question

Mathematics
1 answer:
Mumz [18]3 years ago
7 0

Answer:

\sum^{\infty}_0 {(-3)^n}

Step-by-step explanation:

Notice that the series: 1 - 3 + 9 - 27 +... clearly has powers of the factor 3 in its terms and it is also an alternate series (the terms alternate from positive to negative). The terms are positive for a_0, a_2, a_4, ... (even terms) , while the odd terms a_1, a_3, a_5, ... are negative. (so most likely there should be a factor   (-1) in the common ratio.

We can then represent it with the following summation expression:

\sum^{\infty}_0 {(-3)^n} given that each of its first four terms are:

a_0=(-3)^0=1\\a_1=(-3)^1=-3\\a_2=(-3)^2=(-3)*(-3)=9\\a_3=(-3)^3=(-3)*(-3)*(-3)=-27

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Find the nth term of a gp with (a. find term = 5, common ratio = 2​
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Step-by-step explanation:

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3 years ago
Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale.
Lunna [17]

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Explanation:

It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.

The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since F and D are midpoints of AE and EC respectively.

So by midpoint theorem length of AC is twice of DF.

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Therefore, the length of AC is 32.

7 0
2 years ago
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agasfer [191]

Answer:

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Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(1, 3)    ⇒   x₁ = 1,  y₁ = 3

(7, 2)    ⇒   x₂ = 7,  y₂ = 2

So the slope:

                    \bold{m=\dfrac{2-3}{7-1}=\dfrac{-1}6=-\dfrac16}

5 0
3 years ago
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Anuta_ua [19.1K]

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A pound is a measure of weight and a cup is a measure of volume.

Step-by-step explanation:

5 0
3 years ago
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